What number should be placed in the box to help complete the division calculation?

Long division setup showing an incomplete calculation. 17 is in the divisor, 2635 is in the dividend, and 1 hundreds and 5 tens is written in the quotient. 1700 is subtracted from 2635 to give 935. An unknown value represented by a box is being subtracted from 935.

Numerical Answers Expected!

Answer for Blank 1:

The value of v is -12.5 when u = 15, t = 8, and s = 40.

According to the question,

We have the following expression:

s = (u+v)\(t^{2}\)

We have the following values:

u = 15, t = 8, s = 40

Now, we can easily find the value of v by putting all these values in the given expression.

So, we have the following expression:

40 = (15+v)8*8

40 = (15+v)16

Multiplying 16 into the bracket:

40 = 15*16+16v

40 = 240+16v

Subtracting 240 from both sides:

40-240 = 16v

-200 = 16v

Dividing by 16 on both sides:

-200/16 = v

v = -12.5

Hence, the value of v is -12.5 when u = 15, t = 8, and s = 40.

To know more about value of v here

https://brainly.com/question/28574791

#SPJ9

Answer:

The answer is (0,-5/4)

Dis

Answer:

the answer is \(y=\frac{1}{4}x-\frac{5}{4}\)

Step-by-step explanation:

Answer:

13/36 and 3/16

Step-by-step explanation:

1/4(1−2/3)^2+1/3  

Remember to use the oder of operations. So what is in the ( ) is first.

1/4\((\frac{1}{3} )^{2}\) + 1/3   Now take \((\frac{1}{3} )^{2}\) which is \(\frac{1}{3} *\frac{1}{3} = \frac{1}{9}\)

So now we have

\(\frac{1}{4} *\frac{1}{9} +\frac{1}{3}\)     Order of operations so we multiply next.

\(\frac{1}{4} *\frac{1}{9} = \frac{1}{4*9} = \frac{1}{36}\)

\(\frac{1}{36} +\frac{1}{3}\)   We need to find a common denominator to add them. 3 goes into 36 so we multiply \(\frac{1}{3} * 12 = \frac{1}{3} * \frac{12}{12} = \frac{12}{36}\)

Now we can add them.

\(\frac{1}{36} + \frac{12}{36} = \frac{13}{36}\)

1/3(1−1/4)^2

\(\frac{1}{3} (1-\frac{1}{4} )^{2}\)

\(\frac{1}{3} (\frac{3}{4} )^{2}\)

\(\frac{3}{4} *\frac{3}{4} = \frac{9}{16}\)

\(\frac{1}{3} *\frac{9}{16} = \frac{9}{48}\)

We can reduce 9/48 by dividing by 3/3 which equals

3/16

Answer:

363

Step-by-step explanation:

125 +

238

____

3

1

125 +

238

____

63

125 +

238

____

363

Using the definition of congruent triangles, the value of x is evaluated as: x = 6.

To find the sides of congruent triangles, note that the corresponding sides of two triangles that are congruent to each other have equal length measurement.

Given that triangular poor ABC and triangular pool PQR are congruent to each other, therefore, their corresponding sides will have the same length.

This means that the third sides of both triangles will be equal, which are:

(3x + 2) = 20

Solve for x:

3x + 2 = 20

3x + 2 - 2 = 20 - 2

3x = 18

3x/3 = 18/3

x = 6

Learn more about congruent triangles on:

https://brainly.com/question/2938476

#SPJ1

However, I can still give you some general steps to solve a math problem in 200 words.

Step 1: Read the problem thoroughly and understand what it's asking you to find. This may involve identifying the given information and what you need to find. Also, identify any constraints on the problem, like time or cost.

Step 2: Plan how to solve the problem. Think about what mathematical operations or formulas you can use to find the answer. Make a list of the steps you need to take to solve the problem. Also, determine the units for your answer.

Step 3: Solve the problem. Use the mathematical operations or formulas you've identified in step 2 to find the answer. Show all of your work, including any calculations, so that you can easily check your work later.

Step 4: Check your answer. Make sure that your answer makes sense and that it satisfies any constraints given in the problem. Also, check that your units are correct. If your answer doesn't make sense, go back and review your work to see if you made an error.

Step 5: Reflect on what you've learned. Think about what you did well and what you could improve upon in future problem-solving situations. This will help you become a more effective problem solver in the future.

For such more question on constraints

https://brainly.com/question/29989358

#SPJ8

This is a transformation of the parent square root function, and it can be written as:

f(x) = √(-x + 4) - 2

It is ratter easy to identify the shape of the general square root function:

f(x) = √x

The only difference is that now it opens to the left, and it starts at the point (4, -2)

Then:

The sign of the x must be negative.

And with the known vertex we can write the equation:

f(x) = √(-x + 4) - 2

That is the graphed function.

Learn more about square roots at:

https://brainly.com/question/428672

#SPJ1

To solve the exercise you can use this property of the absolute value:

So, in this case, you have

Then

To solve the first part you can proceed like this:

To solve the second part you can proceed like this:

Therefore, the solution to the inequality will be

Graphically

The logarithm of the expression \(5^{(-3log_{5} 2 )} * 2^{(log_{2}3)}\) is log(3/8).

Mathematical functions called logarithms let us change the scale at which numbers are expressed. They specifically aid in the transformation of numbers stated in exponential form into numbers expressed in standard form. The exponent to which the base must be raised in order to obtain a given number is given by the logarithm of the number to the specified base. For instance, since 23 = 8, the logarithm base 2 of 8 is 3. Natural logarithms, which are logarithms to the base e (about 2.718), and common logarithms, which are logarithms to the base 10, are the two types of logarithms that are most frequently used.

The given logarithmic expression is:

\(5^{(-3log_{5} 2 )} * 2^{(log_{2}3)}\)

Using the properties of logarithm we have:

\(5^{(-3log_{5} 2 )} 2^{(log_{2}3)}\\= (5^{(log_{5}2)})^{(-3)} * 3\\= 2^{(-3)} * 3\\= 3/8\)

Hence, the logarithm of the expression \(5^{(-3log_{5} 2 )} * 2^{(log_{2}3)}\) is log(3/8).

Learn more about logarithm here:

https://brainly.com/question/30085872

#SPJ1

The probability of drawing a king from a standard deck of 52 cards is 1/13.

In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.

To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).

The total number of possible outcomes is 52 because there are 52 cards in the deck.

The favorable outcomes, in this case, are the four kings.

Therefore, the probability of drawing a king is given by:

Probability = (Number of favorable outcomes) / (Number of possible outcomes)

= 4 / 52

= 1 / 13

Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.

This means that out of every 13 cards drawn, on average, one of them will be a king.

It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.

Each draw is independent, and the probability of drawing a king is constant.

For similar question on probability.

https://brainly.com/question/7965468  

#SPJ8

Answer:

Step-by-step explanation:

2.5 kg = 10 leaning tower

here students can make 10 leaning towers.

find;

How many kilograms of spaghetti does it take to make 1 leaning tower?

solution:

        2.5 kg      

10 leaning towers

= 0.25 kg per leaning tower

therefore,

Mrs. Robinsons can take 0.25 kg of spaghetti to make 1 leaning tower.

Answer:

Prawn hub

Step-by-step explanation:

Prawn hub

Answer:

Yup!

Step-by-step explanation:

Answer:

Yes, the binomial is a factor of the polynomial function.

Step-by-step explanation:

Consider the given polynomial.

Factor out the common term \(x^2\) from the first two terms and \(-25\) from the last two terms.

\(x^3 + 3x^2 -25x-75=x^2(x+3)-25(x+3)\)

Factor out the polynomial.

\(x^2(x+3)-25(x+3)=(x+3)(x^2-25)\)

Further, simplify.

\((x+3)(x^2-25)=(x+3)(x+5)(x-5)\)

Therefore, \(x^3 + 3x^2 -25x-75=(x+3)(x+5)(x-5)\)

A binomial factor is simply a factor with two terms, like (x - a).

Hence, the given polynomial function is binomial as it contains the factor with two terms, like (x - a).

Answer:

Yes           No

Yes(x+3)  No (x−1)  

Yes – (x−5)

Yes – (x+5)   No – (x−3)    

Step-by-step explanation:

Hello future k12/brainly users

pls give FelisFelis upvotes and thanks because they gave the original answer and were downvoted despite being right mostly because whoever downvoted them (calling you out 5 downvoters) didn't take the time to read the explanation correctly.

Answer: 55+ (8* M)

Step-by-step explanation: I think that's the answer

Answer:

Coterminal angles are angles with the same terminal side.

When we have an angle A, the coterminal angles can be written as:

A + k*(360°)

where k can be any integer number. (Notice that when we have k = 0, means that A is coterminal with itself)

Then the set of all the coterminal angles to -225° is:

{-225° + k*360°I k ∈ Z}

where Z is the set of integer numbers.

The principal amount was £1260, and the annual interest rate is 5.5%.

Given that, Olivia gets £1606.50 and £1675.80 after 5 years and 6 years of investment in simple interest respectively.

SI = principal × rate × time / 100

So,

P + 5pr = £1606.50

P = £1606.50 - 5pr............(i)

P + 6pr = £1675.80

P = £1675.80 - 6pr.........(ii)

Therefore,

£1606.50 - 5pr = £1675.80 - 6pr

Pr = 69.3

Put the value of pr in eq(i)

P + 5(69.3) = 1606.50

P = 1606.5 - 346.5

P = 1260

Now,

(1260)r = 69.3

r = 0.055

The annual interest is 5.5%

Hence, the principal amount was £1260, and the annual interest rate is 5.5%.

Learn more about simple interest, click;

https://brainly.com/question/25845758

#SPJ1

Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522

Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.

to know more about unitary method

https://brainly.com/question/28276953

Answer:

Step-by-step explanation

1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.

Now let's check if this result is correct:

1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.

So we have shown that each family paid **Rs 13,522** for the trip

Answer:

First Box Solution: 6.5w = m

Second Box Solution: 11 weeks

Step-by-step explanation:

For one week of washing the dishes he makes 6.5 dollars. 3.25*2 = 6.5 dollars per week. So "w" amount of weeks * 6.5 dollars per week = m- total money. Now we need to divide 70 by 6.5


70/1*2/13 = 140/13 =10 10/13 weeks

It takes 10 10/13 weeks to get 70 dollars but we can round it up to 11 weeks in total.

Of the 250 total shirts about, the quantity of shirts that should be red would be = 125.

The total quantity of shirts that was ordered by Mr. Torres = 250 school t-shirts

The total quantity of red shirt selected at random = 5

The total quantity of blue shirt selected at random = 13

The total quantity of grey shirt selected at random = 12

Total selected at random = 30

Now if 5 red shirts = 30

X red shirts = 250

make X the subject of formula;

X = 15× 250/30

X = 3750/30

X = 125 red shirts.

Learn more about random sampling here:

https://brainly.com/question/24466382

#SPJ1

The monthly cell phone bill when shared data equals zero is given as follows:

$26.

The slope-intercept representation of a linear function is given by the equation presented as follows:

y = mx + b

The coefficients of the function and their meaning are described as follows:

The intercept of the line in this problem is given as follows:

b = 26.

Hence $26 is the monthly cell phone bill when shared data equals zero.

More can be learned about linear functions at https://brainly.com/question/24808124

#SPJ1

Each piece Measurement of an angle of 120 degrees cut into nine equal lengths with a kerf width of 0.125 would be 14.4583 degrees.

When a particular angle is cut into nine equal parts, the measure of each piece needs to be calculated.

Therefore, it is essential to first calculate the total angle measure and then divide it by the number of parts into which it is being cut.

What is an Angle?

An angle is a geometrical shape that consists of two rays sharing a common endpoint. The common endpoint is known as the vertex, and the two rays are known as the arms of the angle. An angle can be measured in degrees, radians, or gradians. Degrees are the most commonly used unit of measuring angles.How to Calculate Each Piece Measurement of an Angle if Cut into 9 Equal Lengths

To determine each piece measurement of an angle if cut into nine equal lengths, we will need to carry out the following steps:

Step 1: Calculate the total angle measure Suppose the angle being cut into nine equal lengths is an obtuse angle measuring 120 degrees. In that case, the total angle measure will be 120 degrees.

Step 2: Divide the total angle measure by the number of parts into which it is being cut.120 degrees ÷ 9 = 13.3333 degrees

Step 3: Add the kerf width to the piece measurements.0.125 x 9 = 1.125 degrees13.3333 + 1.125 = 14.4583 degrees

Therefore, each piece measurement of an angle of 120 degrees cut into nine equal lengths with a kerf width of 0.125 would be 14.4583 degrees.

For more questions on Measurement .

https://brainly.com/question/27233632

#SPJ8

The area of the dish, a, can be represented by the product of its length and width. Thus, we can write:

a = (279/10) cm x (178/10) cm

Simplifying this expression, we get:

a = 4953/100 cm^2

So, the correct equations are:

B) 178/10 x 279/10 = a

and

D) a ÷ 178/10 = 279/10

Answer:

0.87

Step-by-step explanation:

After decreasing new value would be : 100%  - 13% = 87%

87 % = 87/100 = 0.87

Step-by-step explanation:

h(-1) -g(-1)=2(-1)^2-1-1+4+5

=2-2+9

=9

Answer:

Step-by-step explanation:

18 * 10 - 8 * 4    (remember pemdas)

180 - 32 =

148 cm²

Answer:

D. 2x - y = 13

Step-by-step explanation:

We are given the line x + 2y =5

We want to find the equation that is perpendicular to this line, and that also passes through (4, -5)

Perpendicular lines have slopes that multiply to -1

First, let's find the slope of the line

The line is currently in standard form (ax+by=c), which doesn't show the slope; we can convert this line into slope-intercept form (y=mx+b, where m is the slope and b is the y intercept)

To do that, we will need to solve the equation for y

Here it is:

x + 2y = 5

Subtract x from both sides

2y = -x + 5

Divide both sides by 2

y = -1/2x + 5/2

The slope of the line is -1/2

Now, to find the slope of the line perpendicular to it, use this equation:

-1/2m = -1

Multiply both sides by -2

m = 2

The slope of the line perpendicular to it is 2

Here is the equation of the line so far in slope-intercept form

y = 2x + b

We need to find b

As the equation passes through the point (4, -5), we can use it to help solve for b.

Substitute 4 as x and -5 as y.

-5 = 2(4) + b

Multiply

-5 = 8 + b

Subtract 8 from both sides

-13 = b

This is our line:

y = 2x - 13

Even though this is in slope-intercept form, all of the options in your question are in standard form. Ergo, we must convert the line into standard form.

To do this, we can subtract 2x from both sides, as in standard form, x and y are on the same side

-2x + y = -13

Now multiply both sides by -1

2x - y = 13

This makes the answer D.

Answer:

The triangle is acute.

Step-by-step explanation:

To determine whether the side lengths of 3, 7, and 9 can form a triangle, we need to apply the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Let's check if this condition is satisfied for the given side lengths:

3 + 7 = 10 > 9, so the sum of the two smaller sides is greater than the largest side.

7 + 9 = 16 > 3, so the sum of the two smaller sides is greater than the largest side.

3 + 9 = 12 > 7, so the sum of the two smaller sides is greater than the largest side.

Since all three inequalities are true, we can conclude that the given side lengths of 3, 7, and 9 can form a triangle.

To determine whether the triangle is acute, right, or obtuse, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.

Let's first determine which side is the longest. Since 9 is the largest side length, it must be the hypotenuse if the triangle is right-angled.

However, using the Pythagorean theorem, we can see that:

3^2 + 7^2 = 58 < 9^2, so the triangle is not right-angled.

Therefore, the triangle must be either acute or obtuse. To determine which one, we can use the law of cosines, which states that in any triangle:

c^2 = a^2 + b^2 - 2ab*cos(C)

where a, b, and c are the side lengths, and C is the angle opposite to side c.

Let's apply this formula to the triangle with side lengths 3, 7, and 9:

9^2 = 3^2 + 7^2 - 2(3)(7)*cos(C)

81 = 58 - 42*cos(C)

cos(C) = (58 - 81)/(-42) = 0.5476

C = cos^(-1)(0.5476) = 56.69 degrees

Therefore, the largest angle in the triangle is approximately 56.69 degrees. Since this angle is less than 90 degrees, we can conclude that the triangle is acute.

Answer:

obtuse angled triangle

Step-by-step explanation:

for the sides to form a triangle

the sum of any 2 sides must be greater than the third side.

3 + 7 = 10 > 9

3 + 9 = 12 > 7

7 + 9 = 16 > 3

then the 3 sides 3 , 7 , 9 will form a triangle

given 3 sides a , b , c with c the longest side

• if a² + b² = c² ⇒ right triangle

• if a² + b² > c² ⇒ acute angled triangle

• if a² + b² < c² ⇒ obtuse angled triangle

here a = 3 , b = 7 , c = 9

a² + b² = 3² + 7² = 9 + 49 = 58

c² = 9² = 81

since a² + b² < c²

then triangle is obtuse

Answer:

1/2

Step-by-step explanation:

In a deck of cards, there are 13 hearts and 13 diamonds

13+13 = 26 hearts or diamonds

P( hearts or diamonds) = numbers of hearts or diamonds / total

                                       =26/52

                                       = 1/2

Answer:

I can answer this give me one moment